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Finding the Fourth Proportional to 7,884.57, 11,812.51 and 4,587.67

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Solution

The fourth proportional to 7,884.57, 11,812.51 and 4,587.67 is: 6,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.57 : 11,812.51 = 4,587.67 : x
  2. Step 2: Convert to fraction form
    7,884.57/11,812.51 = 4,587.67/x
  3. Step 3: Cross multiply
    7,884.57x = 11,812.51 × 4,587.67
  4. Step 4: Simplify right side
    7,884.57x = 54,191,918.25
  5. Step 5: Solve for x
    x = 54,191,918.25/7,884.57
  6. Step 6: Final answer
    x = 6,873.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.